Find the prime factorization of number 4113.

Answer

The prime factorization of 4113 is:
$4113 = 3 \cdot 3 \cdot 457$
Which is the same as :
$4113 = 3^{2} \cdot 457$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

4113 can be written as 3 × 1371.	4113 3 1371
1371 can be written as 3 × 457.	4113 3 1371 457 3
The end nodes are the prime factors of the number 4113.	4113 3 1371 457 3

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Find the prime factorization of number 4113.

The prime factorization of 4113 is:4113=3⋅3⋅457 Which is the same as :4113=32⋅457

The prime factorization of 4113 is:
$4113 = 3 \cdot 3 \cdot 457$
Which is the same as :
$4113 = 3^{2} \cdot 457$